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Simplifying 3x + -7 = 4(2x + -3) + -5 Reorder the terms: -7 + 3x = 4(2x + -3) + -5 Reorder the terms: -7 + 3x = 4(-3 + 2x) + -5 -7 + 3x = (-3 * 4 + 2x * 4) + -5 -7 + 3x = (-12 + 8x) + -5 Reorder the terms: -7 + 3x = -12 + -5 + 8x Combine like terms: -12 + -5 = -17 -7 + 3x = -17 + 8x Solving -7 + 3x = -17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 3x + -8x = -17 + 8x + -8x Combine like terms: 3x + -8x = -5x -7 + -5x = -17 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -5x = -17 + 0 -7 + -5x = -17 Add '7' to each side of the equation. -7 + 7 + -5x = -17 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = -17 + 7 -5x = -17 + 7 Combine like terms: -17 + 7 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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